Index Theory, Eta Forms, and Deligne Cohomology

Index Theory, Eta Forms, and Deligne Cohomology
Author :
Publisher : American Mathematical Soc.
Total Pages : 134
Release :
ISBN-10 : 9780821842843
ISBN-13 : 0821842846
Rating : 4/5 (846 Downloads)

Book Synopsis Index Theory, Eta Forms, and Deligne Cohomology by : Ulrich Bunke

Download or read book Index Theory, Eta Forms, and Deligne Cohomology written by Ulrich Bunke and published by American Mathematical Soc.. This book was released on 2009-03-06 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper sets up a language to deal with Dirac operators on manifolds with corners of arbitrary codimension. In particular the author develops a precise theory of boundary reductions. The author introduces the notion of a taming of a Dirac operator as an invertible perturbation by a smoothing operator. Given a Dirac operator on a manifold with boundary faces the author uses the tamings of its boundary reductions in order to turn the operator into a Fredholm operator. Its index is an obstruction against extending the taming from the boundary to the interior. In this way he develops an inductive procedure to associate Fredholm operators to Dirac operators on manifolds with corners and develops the associated obstruction theory.


Index Theory, Eta Forms, and Deligne Cohomology Related Books

Index Theory, Eta Forms, and Deligne Cohomology
Language: en
Pages: 134
Authors: Ulrich Bunke
Categories: Mathematics
Type: BOOK - Published: 2009-03-06 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This paper sets up a language to deal with Dirac operators on manifolds with corners of arbitrary codimension. In particular the author develops a precise theor
Global Differential Geometry
Language: en
Pages: 520
Authors: Christian Bär
Categories: Mathematics
Type: BOOK - Published: 2011-12-18 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This volume contains a collection of well-written surveys provided by experts in Global Differential Geometry to give an overview over recent developments in Ri
C*-algebras and Elliptic Theory II
Language: en
Pages: 312
Authors: Dan Burghelea
Categories: Mathematics
Type: BOOK - Published: 2008-03-18 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This book consists of a collection of original, refereed research and expository articles on elliptic aspects of geometric analysis on manifolds, including sing
Differential Function Spectra, the Differential Becker-Gottlieb Transfer, and Applications to Differential Algebraic K-Theory
Language: en
Pages: 177
Authors: Ulrich Bunke
Categories: Education
Type: BOOK - Published: 2021-06-21 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

We develop differential algebraic K-theory for rings of integers in number fields and we construct a cycle map from geometrized bundles of modules over such a
The Maslov Index in Symplectic Banach Spaces
Language: en
Pages: 134
Authors: Bernhelm Booß-Bavnbek
Categories: Mathematics
Type: BOOK - Published: 2018-03-19 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The authors consider a curve of Fredholm pairs of Lagrangian subspaces in a fixed Banach space with continuously varying weak symplectic structures. Assuming va